Finite Group Databasebeta

← Group #13130970

Character table — Group #13130970

Order 1664.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111222222444444444444888888888888888888881313131316161616161616161616161626262626262626262626262626262626262626262626104104104104104104
order12224444441313132626262626262626262252525252525252525252525252525252525244442626262626262626262626262244444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1ii−i−i
χ4111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1−i−iii
χ51111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1
χ61111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11−i−iii
χ81111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11ii−i−i
χ91111-1-1-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-1
χ101111-1-1-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-11
χ111111-1-1-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11i−i−ii
χ121111-1-1-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11−iii−i
χ131111-1-1-1-111111111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11
χ141111-1-1-1-111111111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11-1
χ151111-1-1-1-111111111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1−iii−i
χ161111-1-1-1-111111111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1i−i−ii
χ17222222-2-2-2-222222222222200-2-2-2-2-2-2222222-2-2-2-2-2-22222000000000000-2-222-2-20000000000000000000000
χ18222222-2-2-2-222222222222200-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-200000000000022-2-2220000000000000000000000
χ192222-2-222-2-222222222222200-2-2-2-2-2-2-2-2-2-2-2-22222222222000000000000-2-2-2-2220000000000000000000000
χ202222-2-222-2-222222222222200-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-20000000000002222-2-20000000000000000000000
χ2122-2-2002-200222222-2-2-2-2-2-200000000000000222-2-2-22i−2i2i−2i00000000000000002i−2i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i000000
χ2222-2-2002-200222222-2-2-2-2-2-200000000000000222-2-2-22i−2i2i−2i00000000000000002i−2i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i000000
χ2322-2-2002-200222222-2-2-2-2-2-200000000000000222-2-2-2−2i2i−2i2i0000000000000000−2i2i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i000000
χ2422-2-2002-200222222-2-2-2-2-2-200000000000000222-2-2-2−2i2i−2i2i0000000000000000−2i2i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i000000
χ2522-2-200-2200222222-2-2-2-2-2-200000000000000-2-2-22222i−2i2i−2i0000000000000000−2i2i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i000000
χ2622-2-200-2200222222-2-2-2-2-2-200000000000000-2-2-22222i−2i2i−2i0000000000000000−2i2i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i000000
χ2722-2-200-2200222222-2-2-2-2-2-200000000000000-2-2-2222−2i2i−2i2i00000000000000002i−2i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i000000
χ2822-2-200-2200222222-2-2-2-2-2-200000000000000-2-2-2222−2i2i−2i2i00000000000000002i−2i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i000000
χ292-22-22-20000222-2-2-2222-2-2-200000000222-2-2-20000002i−2i−2i2i000000000000002i−2i001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000
χ302-22-22-20000222-2-2-2222-2-2-200000000222-2-2-20000002i−2i−2i2i000000000000002i−2i00−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000
χ312-22-22-20000222-2-2-2222-2-2-200000000222-2-2-2000000−2i2i2i−2i00000000000000−2i2i001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000
χ322-22-22-20000222-2-2-2222-2-2-200000000222-2-2-2000000−2i2i2i−2i00000000000000−2i2i00−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000
χ332-22-2-220000222-2-2-2222-2-2-200000000-2-2-22220000002i−2i−2i2i00000000000000−2i2i001−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i000000
χ342-22-2-220000222-2-2-2222-2-2-200000000-2-2-22220000002i−2i−2i2i00000000000000−2i2i00−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i000000
χ352-22-2-220000222-2-2-2222-2-2-200000000-2-2-2222000000−2i2i2i−2i000000000000002i−2i001+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i000000
χ362-22-2-220000222-2-2-2222-2-2-200000000-2-2-2222000000−2i2i2i−2i000000000000002i−2i00−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i000000
χ372-2-2200002-2222-2-2-2-2-2-222200222-2-2-200000000000022-2-20000000000002-2000000002i−2i−2i2i0000−2i2i2i−2i000000
χ382-2-2200002-2222-2-2-2-2-2-222200222-2-2-200000000000022-2-20000000000002-200000000−2i2i2i−2i00002i−2i−2i2i000000
χ392-2-2200002-2222-2-2-2-2-2-222200222-2-2-2000000000000-2-222000000000000-22000000002-2-2200002-2-22000000
χ402-2-2200002-2222-2-2-2-2-2-222200222-2-2-2000000000000-2-222000000000000-2200000000-222-20000-222-2000000
χ412-2-220000-22222-2-2-2-2-2-222200-2-2-222200000000000022-2-2000000000000-2200002i−2i−2i2i0000−2i2i2i−2i0000000000
χ422-2-220000-22222-2-2-2-2-2-222200-2-2-222200000000000022-2-2000000000000-220000−2i2i2i−2i00002i−2i−2i2i0000000000
χ432-2-220000-22222-2-2-2-2-2-222200-2-2-2222000000000000-2-2220000000000002-200002-2-2200002-2-220000000000
χ442-2-220000-22222-2-2-2-2-2-222200-2-2-2222000000000000-2-2220000000000002-20000-222-20000-222-20000000000
χ454444444444−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ5044−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ500000−ζ6−ζ22−ζ30−ζ46−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ2−ζ10−ζ42−ζ500000000000000000000000000000
χ464444444444−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50-4-4−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ500000ζ6+ζ22+ζ30+ζ46ζ6+ζ22+ζ30+ζ46ζ14+ζ18+ζ34+ζ38ζ14+ζ18+ζ34+ζ38ζ2+ζ10+ζ42+ζ50ζ2+ζ10+ζ42+ζ50ζ6+ζ22+ζ30+ζ46ζ6+ζ22+ζ30+ζ46ζ14+ζ18+ζ34+ζ38ζ14+ζ18+ζ34+ζ38ζ2+ζ10+ζ42+ζ50ζ2+ζ10+ζ42+ζ500000000000000000000000000000
χ474444444444−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ4644−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ460000−ζ14−ζ18−ζ34−ζ38−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ6−ζ22−ζ30−ζ460000000000000000000000000000
χ484444444444−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46-4-4−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ460000ζ14+ζ18+ζ34+ζ38ζ14+ζ18+ζ34+ζ38ζ2+ζ10+ζ42+ζ50ζ2+ζ10+ζ42+ζ50ζ6+ζ22+ζ30+ζ46ζ6+ζ22+ζ30+ζ46ζ14+ζ18+ζ34+ζ38ζ14+ζ18+ζ34+ζ38ζ2+ζ10+ζ42+ζ50ζ2+ζ10+ζ42+ζ50ζ6+ζ22+ζ30+ζ46ζ6+ζ22+ζ30+ζ460000000000000000000000000000
χ494444444444−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ3844−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ380000−ζ2−ζ10−ζ42−ζ50−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ14−ζ18−ζ34−ζ380000000000000000000000000000
χ504444444444−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38-4-4−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ38−ζ2−ζ10−ζ42−ζ50−ζ6−ζ22−ζ30−ζ46−ζ14−ζ18−ζ34−ζ380000ζ2+ζ10+ζ42+ζ50ζ2+ζ10+ζ42+ζ50ζ6+ζ22+ζ30+ζ46ζ6+ζ22+ζ30+ζ46ζ14+ζ18+ζ34+ζ38ζ14+ζ18+ζ34+ζ38ζ2+ζ10+ζ42+ζ50ζ2+ζ10+ζ42+ζ50ζ6+ζ22+ζ30+ζ46ζ6+ζ22+ζ30+ζ46ζ14+ζ18+ζ34+ζ38ζ14+ζ18+ζ34+ζ380000000000000000000000000000
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Here ζ is a primitive root of unity of order 52 (ζ52 = 1); i = ζ13.